Calculating shear in a cantelever

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In summary, the equation for calculating a point force is (Shear force*Statical Moment of area)/(moment of inertia of cross-sectional area*thickness of material perpendicular to shear). The questions asked are: what is the "moment of inertia of cross-sectional area" and what is the "statical moment of area"? Another question is how to calculate shear in a cylindrical cantilever, specifically what is the "thickness of material perpendicular to shear"? An example is given with a beam that is 5*3*4 (Length, height, width respectively), and a cylindrical cantilever with a radius of 12 inches and a length of 12 feet. It is mentioned that this is not a school lab, and the poster
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The equation is: (Shear force*Statical Moment of area)/(moment of inertia of cross-sectional area*thickness of material perpendicular to shear). Let's call it a point force. The questions I have is: what is the "moment of inertia of cross-sectional area" & what is the "statical moment of area"? Let's consider it a beam that is 5*3*4, Length, height, width (respectively)? Also, how would you calculate the shear in a cylindrical cantilever: what is the "thickness of material perpendicular to shear? Let's say it has a radius of 12" and is 12'? Thanks! (Our school doesn't do this lab) Just threw in those numbers so there's no ambiguity.
 
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Your posting is very mixed up . Please go back a step and tell us what problem you are actually trying to solve .

If the problem relates to school or college homework then please repost in the homework section using the template supplied .
 

FAQ: Calculating shear in a cantelever

1. How do you calculate shear in a cantilever?

To calculate shear in a cantilever, you must first determine the shear force at the free end of the cantilever. This can be done by summing up the external forces acting on the cantilever and taking into account the distributed load along the length of the cantilever. Once the shear force is determined, you can then use the formula V = Q * L / I, where V is the shear force, Q is the distance from the free end to the point of interest, L is the length of the cantilever, and I is the moment of inertia of the cross-section of the cantilever.

2. What is the difference between shear and bending moment in a cantilever?

Shear is the force that acts perpendicular to the longitudinal axis of the cantilever, causing it to slide or shear off at a point. Bending moment, on the other hand, is the moment that causes the cantilever to bend or rotate. It is calculated by multiplying the force acting on the cantilever by the distance from the point of interest to the support.

3. What is the significance of calculating shear in a cantilever?

Calculating shear in a cantilever is important in engineering and construction as it helps determine the maximum load that a cantilever can withstand without failing. This information is crucial in the design process to ensure the structural integrity and safety of the cantilever.

4. How does the shape of a cantilever affect shear calculations?

The shape of a cantilever can affect shear calculations as it determines the moment of inertia of the cross-section, which is a crucial factor in the formula for calculating shear. A larger moment of inertia means a stronger cantilever that can withstand higher shear forces.

5. Can shear in a cantilever be reduced?

Yes, shear in a cantilever can be reduced by increasing the stiffness of the cantilever, either by increasing its cross-sectional area or by using a more rigid material. Additionally, adding a support or brace near the free end of the cantilever can also help reduce shear.

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